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Finding the Fourth Proportional to 5,771.85, 8,657.76 and 1,611.96

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Solution

The fourth proportional to 5,771.85, 8,657.76 and 1,611.96 is: 2,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.85 : 8,657.76 = 1,611.96 : x
  2. Step 2: Convert to fraction form
    5,771.85/8,657.76 = 1,611.96/x
  3. Step 3: Cross multiply
    5,771.85x = 8,657.76 × 1,611.96
  4. Step 4: Simplify right side
    5,771.85x = 13,955,962.81
  5. Step 5: Solve for x
    x = 13,955,962.81/5,771.85
  6. Step 6: Final answer
    x = 2,417.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.